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Finding the Third Proportional to 7,618.78 and 12,166.17

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Solution

The third proportional to 7,618.78 and 12,166.17 is: 19,427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,618.78 : 12,166.17 = 12,166.17 : x
  2. Step 2: Convert to fraction form
    7,618.78/12,166.17 = 12,166.17/x
  3. Step 3: Cross multiply
    7,618.78x = 12,166.17 × 12,166.17
  4. Step 4: Simplify right side
    7,618.78x = 148,015,738.09
  5. Step 5: Solve for x
    x = 148,015,738.09/7,618.78
  6. Step 6: Final answer
    x = 19,427.74

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.